Concept explainers
The frequency of oscillation of the spring without anybody sitting on the wooden horse.
Answer to Problem 46P
The frequency of oscillation of the spring without the child is
Explanation of Solution
The mass of the child is
Write the expression for total force in vertical y-direction on the spring when the child is at equilibrium position. (Refer figure 1)
Here,
Rearranging the above equation for
Write the expression for the frequency when there’s nobody on the horse
Here,
Write the expression for force constant of the spring
Here,
Rearranging the above equation for
Substitute (III) in (II)
Substitute
Substitute
Thus, the frequency of oscillation of the spring without the child is
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